Supermanifolds

This book aims to fill the gap in the available literature on supermanifolds, describing the different approaches to supermanifolds together with various applications to physics, including some which rely on the more mathematical aspects of supermanifold theory. The first part of the book contains a full introduction to the theory of supermanifolds, comparing and contrasting the different approaches that exist. Topics covered include tensors on supermanifolds, super fibre bundles, super Lie groups and integration theory.Later chapters emphasise applications, including the superspace approach to supersymmetric theories, super Riemann surfaces and the spinning string, path integration on supermanifolds and BRST quantization.Contents: Super AlgebrasSuperspaceFunctions of Anticommuting VariablesSupermanifolds: The Concrete ApproachFunctions and Vector FieldsSupermanifolds: The Algebro-Geometric ApproachThe Structure of SupermanifoldsSuper Lie GroupsTensors and FormsIntegration on SupermanifoldsGeometric Structures on SupermanifoldsSupermanifolds and Supersymmetric TheoriesSuper Riemann SurfacesPath Integrals on SupermanifoldsSupermanifolds and BRST QuantizationSupermanifolds and GeometryReadership: Mathematicians and theoretical physicists.Key Features:Contains detailed coverage of the latest developments in bioluminescence and chemiluminescence researchProvides important information on recent applications and instrumentation developed for bioluminescence and chemiluminescenceDescribes experimental procedures and protocols in bioluminescence and chemiluminescenceCovers phosphorescent and fluorescent materials